The Optimization on Ranks and Inertias of a Quadratic Hermitian Matrix Function and Its Applications

Yirong Yao

Journal of Applied Mathematics, 2013, vol. 2013, 1-6

Abstract:

We solve optimization problems on the ranks and inertias of the quadratic Hermitian matrix function subject to a consistent system of matrix equations and . As applications, we derive necessary and sufficient conditions for the solvability to the systems of matrix equations and matrix inequalities , and in the Löwner partial ordering to be feasible, respectively. The findings of this paper widely extend the known results in the literature.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:961568

DOI: 10.1155/2013/961568

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